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arXiv · 2305.12337

Vanishing theorems for generalized pairs

Bingyi Chen·Jihao Liu·Lingyao Xie
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Abstract

We establish the Kodaira vanishing theorem and the Kawamata-Viehweg vanishing theorem for lc generalized pairs. As a consequence, we provide a new proof of the base-point-freeness theorem for lc generalized pairs. This new approach allows us to prove the contraction theorem for lc generalized pairs without using Koll\'ar's gluing theory.

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Bingyi Chen, Jihao Liu, Lingyao Xie. 2023-05-21. Vanishing theorems for generalized pairs. https://arxiv.org/abs/2305.12337

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